The specific heat of zinc is 0.096 cal/(g °C). Determine the energy required to raise the temperature of 26.1 g of zinc from room temperature (20.0 °C) to 150 °C.
To determine the energy required to raise the temperature of a substance, you can use the formula:
Energy = mass × specific heat × change in temperature
First, we need to calculate the change in temperature, which is the difference between the final temperature and the initial temperature:
Change in temperature = Final temperature - Initial temperature
Change in temperature = 150 °C - 20.0 °C
Change in temperature = 130 °C
Now, we can substitute the values into the formula:
Energy = mass × specific heat × change in temperature
Energy = 26.1 g × 0.096 cal/(g °C) × 130 °C
Before calculating, we need to convert grams to calories by multiplying by the conversion factor:
1 g = 1 cal
Energy = 26.1 g × 0.096 cal/(g °C) × 130 °C
Energy = 316.872 cal
Therefore, the energy required to raise the temperature of 26.1 g of zinc from 20.0 °C to 150 °C is approximately 316.872 calories.